Explain why the square root of -64 is undefined but the cubed root of -64 is defined in the real number system

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12-04-2018
Mathematics

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Explain why the square root of -64 is undefined but the cubed root of -64 is defined in the real number system

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iTSjUstRyaNt iTSjUstRyaNt · Answer 1 · 2018-04-12T03:14:14+02:00

iTSjUstRyaNt iTSjUstRyaNt

12-04-2018

Because there is no number that could be multiplied BY ITSELF and still be negative:
-2 x -2 = 4
2 x 2 = 4
But, cubed root works because a negative can be three times and still be negative:
-4 x -4 x -4 = -64
Hope this helps!

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